A black body at 1227,^oC emits radiations with maximum intensity at a wavelength of 5000,math

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10-2.Transmission of Heat

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A black body at $1227\,^oC$ emits radiations with maximum intensity at a wavelength of $5000\,\mathop A\limits^o $ . If the temperature of the body is increased by $1000\,^oC,$ the maximum intensity will be at ....... $\mathop A\limits^o $

A

$4000$

B

$5000$

C

$6000$

D

$3000$

Solution

$ \lambda_{\mathrm{m}} \mathrm{T} =\text { constant } $

$\lambda_{1} \mathrm{T}_{1}= \lambda_{2} \mathrm{T}_{2}$

$(5000)[1227+273] =\lambda_{2}[2227+273] $

$ 5000 \times 1500 =\lambda_{2}(2500) $

$\left[ {{\lambda _2} = 3000\mathop {\,\,{\rm{A}}}\limits^o } \right]$

Standard 11

Physics

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